Solve (x-13/2)^2-165/4

$$( x - \frac { 13 } { 2 } ) ^ { 2 } - \frac { 165 } { 4 }$$

Evaluate

$$x^{2}-13x+1$$

Solution Steps

Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-\frac{13}{2}\right)^{2}.

$$x^{2}-13x+\frac{169}{4}-\frac{165}{4}$$

Subtract \frac{165}{4} from \frac{169}{4} to get 1.

$$x^{2}-13x+1$$

Expand

$$x^{2}-13x+1$$

Solution Steps

Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-\frac{13}{2}\right)^{2}.

$$x^{2}-13x+\frac{169}{4}-\frac{165}{4}$$

Subtract \frac{165}{4} from \frac{169}{4} to get 1.

$$x^{2}-13x+1$$